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$Simplify the expression. Write your answers using integers or improper fractions. 5(3u-5u-2)-(1)/(3)u Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $5(3 u-5 u-2)-\frac{1}{3} u$ $\newline$ Answer:

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Powers with decimal and fractional bases

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.

\newline

5(3 u-5 u-2)-\frac{1}{3} u

\newline

Answer:

Distribute Terms: Distribute $5$ into the terms inside the parentheses $(3u-5u-2)$ . $\newline$ $5 \times 3u = 15u$ $\newline$ $5 \times -5u = -25u$ $\newline$ $5 \times -2 = -10$ $\newline$ So, $5(3u-5u-2)$ becomes $15u - 25u - 10$ .
Combine Like Terms: Combine like terms from the result of the distribution. $\newline$ $15u - 25u = -10u$ $\newline$ So, $15u - 25u - 10$ becomes $-10u - 10$ .
Write Entire Expression: Write down the entire expression with the combined like terms. $\newline$ The expression now is $-10u - 10 - \frac{1}{3}u$ .
Combine Like Terms: Combine the like terms $-10u$ and $-(1/3)u$ . To combine these, we need a common denominator, which is $3$ . $-10u$ can be written as $(-30/3)u$ . So, $(-30/3)u - (1/3)u = (-30 - 1)/3 \times u = (-31/3)u$ .
Write Simplified Expression: Write down the simplified expression with the combined like terms. $\newline$ The expression now is $(-\frac{31}{3})u - 10$ .

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